Synchronization analysis of singular dynamical networks with unbounded time-delays

Advances in Difference Equations

Wei Jiang¹  Song Liu¹  Xian-Feng Zhou¹  Xiaoyan Li¹ 

[1] School of Mathematical Sciences, Anhui University, Hefei, P.R. China

关键词: synchronization;    singular hybrid network;    unbounded time-delay;    matrix inequality;    34D06;    34D20;   

DOI  :  10.1186/s13662-015-0529-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with singular dynamical networks with non-delay coupling and unbounded time-delay coupling simultaneously, where the coupling configuration matrices are symmetric with zero row sums and nonnegative off-diagonal entries. A sufficient condition of synchronization is derived based on the Lyapunov-Krasovskii functional method and matrix analysis technique. A numerical example shows that our proposed method is simple and convenient in computation.

【 授权许可】

CC BY